If 6x^2+6y^2=13xy what is the ratio of x to y
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Solution :-
Since 6X2 + 6Y2 = 13 xy
=> 6X2 / XY + 6Y2/XY =13
=> 6 X/Y + 6 Y/X =13
Lets assume X/Y =a in order to solve above equation.
Hence, 6a + 6/a =13
=> 6a2 + 6 =13a
=> 6a2 -13a +6 =0
=> 6a2 -9a - 4a +6 =0
=> (2a-3) (3a-2) =0
2a-3 = 0
a= 3/2
Since a = X/Y = 3/2
Ratio will be = 3:2 Ans
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I hope it's help u✌️✌️
Since 6X2 + 6Y2 = 13 xy
=> 6X2 / XY + 6Y2/XY =13
=> 6 X/Y + 6 Y/X =13
Lets assume X/Y =a in order to solve above equation.
Hence, 6a + 6/a =13
=> 6a2 + 6 =13a
=> 6a2 -13a +6 =0
=> 6a2 -9a - 4a +6 =0
=> (2a-3) (3a-2) =0
2a-3 = 0
a= 3/2
Since a = X/Y = 3/2
Ratio will be = 3:2 Ans
===========
I hope it's help u✌️✌️
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